Proefschrift--Amsterdam.

Thesis (Ph.D.)--George Mason University, 2009. / Vita: p. 103. Thesis director: Geir Agnarsson. Submitted in partial fulfillment of the requirements for the degree of Doctor of Philosophy in Mathematics. Title from PDF t.p. (viewed Oct. 12, 2009). Includes bibliographical references (p. 101-102). Also issued in print.

Proefschrift--Amsterdam.

Thesis (Ph. D.)--University of Missouri, 1935. / Vita. Photolithoprinted. Includes bibliographical references (leaf following p. 40).

Thesis (doctoral)--Friedrich-Wilhelms-Universität zu Berlin, 1928. / "Sonderdruck aus der "Mathematischen Zeitschrift", Band 30, Heft 3"--T.p. verso. Vita. Includes bibliographical references.

Inaug.-diss.--Universität Marburg, 1907.

Inaug.--Diss.--Bonn. / Includes bibliography.

Habilitationsschrift--Marburg. / On verso of t.p.: "Die vollständige Arbeit erscheint im Journal für reine und angewandte Mathematik."

The theory of abelian and non-abelian L-functions is developed with a view to providing an understanding of the Langlands-Deligne local root number and local Galois Gauss sum. The relationship between the Galois Gauss sum of a character of a group and the Galois Gauss sum of the restriction of that character to a subgroup is examined. In particular a generalization of a theorem of Hasse-Davenport (1934) to the global, non-abelian case is seen to result from the relation between Galois Gauss sums and the adelic resolvents of Fröhlich. / Science, Faculty of / Mathematics, Department of / Unknown

"In 1824, the Norwegian mathematician N. H. Abel (1802-1829) proved that the general polynomial equation of degree greater than four with real numbers as coefficients is not solvable by radicals. That is, the roots cannot be expressed by a formula involving only rational operations and radicals. This result was unexpected, since formulas are known for the quadratic, cubic, and quartic equations. Another brilliant mathematician, E. Galois (1811-1832), used the concept of a group to penetrate further into the nature of polynomial equations. The object of this paper is to prove the insolvability of the quintic equation. In the process portions of the theory of field extensions and Galois theory are developed. Most of this material can be found in A Survey of Modern Algebra, by G. Birkhoff and S. MacLane. Certain questions, however, are treated in more detail than is found in most textbooks which contain the subject. This is especially true for the proof of the existence of a quintic equation not solvable by radicals"--Introduction. / "May 28, 1952." / Typescript. / "Submitted to the Graduate Council of Florida State University in partial fulfillment of the requirements for the degree of Master of Science." / Advisor: Nickolas Heerema, Professor Directing Paper. / Includes bibliographical references (leaf 49).